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Finding the Fourth Proportional to 9,667.56, 14,503.74 and 2,742

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Solution

The fourth proportional to 9,667.56, 14,503.74 and 2,742 is: 4,113.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.56 : 14,503.74 = 2,742 : x
  2. Step 2: Convert to fraction form
    9,667.56/14,503.74 = 2,742/x
  3. Step 3: Cross multiply
    9,667.56x = 14,503.74 × 2,742
  4. Step 4: Simplify right side
    9,667.56x = 39,769,255.08
  5. Step 5: Solve for x
    x = 39,769,255.08/9,667.56
  6. Step 6: Final answer
    x = 4,113.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.